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Finding the Third Proportional to 125,649 and 270,978.75

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Solution

The third proportional to 125,649 and 270,978.75 is: 584,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,649 : 270,978.75 = 270,978.75 : x
  2. Step 2: Convert to fraction form
    125,649/270,978.75 = 270,978.75/x
  3. Step 3: Cross multiply
    125,649x = 270,978.75 × 270,978.75
  4. Step 4: Simplify right side
    125,649x = 73,429,482,951.56
  5. Step 5: Solve for x
    x = 73,429,482,951.56/125,649
  6. Step 6: Final answer
    x = 584,401.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.